Results 31 to 40 of about 26,882 (236)
The spatially homogeneous Hopf bifurcation induced jointly by memory and general delays in a diffusive system [PDF]
, 2022 In this paper, by incorporating the general delay to the reaction term in the memory-based diffusive system, we propose a diffusive system with memory delay and general delay (e.g., digestion, gestation, hunting, migration and maturation delays, etc.).
arxiv +1 more source
A simple model for ultradiscrete Hopf bifurcation [PDF]
arXiv, 2021 Dynamical properties of ultradiscrete Hopf bifurcation, similar to those of the standard Hopf bifurcation, are discussed by proposing a simple model of ultradiscrete equations with max-plus algebra. In ultradiscrete Hopf bifurcation, limit cycles emerge depending on the value of a bifurcation parameter in the model.
arxiv
Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System
Journal of Applied Mathematics, 2014 We study the bifurcations and sliding mode control of chaotic vibrations in an autonomous system. More precisely, a Hopf bifurcation controller is designed so as to control the unstable subcritical Hopf bifurcation to the stable supercritical Hopf ...
Wenju Du +5 more
doaj +1 more source
Influence of Time Delay on Bifurcation in Fractional Order BAM Neural Networks With Four Delays
IEEE Access, 2019 Over the past several decades, numerous scholars have studied the stability and Hopf bifurcation problem of integer-order delayed neural networks. However, the fruits about the stability and Hopf bifurcation for fractional-order delayed neural networks ...
Changjin Xu +3 more
doaj +1 more source
Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
Advances in Difference Equations, 2019 In this paper, the Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is considered. Firstly, we present a kind of double parameters selection method, which can be used to analyze the Turing ...
Qiushuang Shi, Ming Liu, Xiaofeng Xu
doaj +1 more source
Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect [PDF]
, 2018 We investigate a diffusive predator-prey model by incorporating the fear effect into prey population, since the fear of predators could visibly reduce the reproduction of prey. By introducing the mature delay as bifurcation parameter, we find this makes the predator-prey system more complicated and usually induces Hopf and Hopf-Hopf bifurcations.
arxiv +1 more source
Analysing panel flutter in supersonic flow by Hopf bifurcation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 This paper is devoted to study of a partial differential equation governing panel motion in supersonic flow. This PDE can be transformed to an ODE by means of a Galerkin method.
zahra Monfared, Zohre Dadi
doaj +1 more source
Turing-Hopf bifurcation analysis in a diffusive Gierer-Meinhardt model
AIMS Mathematics, 2021 The reaction-diffusion Gierer-Meinhardt system in one dimensional bounded domain is considered in the present paper. The Hopf bifurcation is investigated, which is found to be degenerate.
Anna Sun, Ranchao Wu, Mengxin Chen
doaj +1 more source
On degenerate planar Hopf bifurcations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2011 Our concern is the study of degenerate Hopf bifurcation of smooth planar dynamical systems near isolated singular points. To do so, we propose to split up the definition of degeneracy into two types. Degeneracy of first kind shall means that no limit cycle surrounding the steady state can emerge after or before the critical point, with the possible ...
openaire +2 more sources
Computer-assisted proofs of Hopf bubbles and degenerate Hopf bifurcations [PDF]
arXiv, 2022 We present a computer-assisted approach to prove the existence of Hopf bubbles and degenerate Hopf bifurcations in ordinary and delay differential equations. We apply the method to rigorously investigate these nonlocal bifurcation structures in the FitzHugh- Nagumo equation, the extended Lorenz-84 model and a time-delay SI model.
arxiv